Measurement in geometry is one of the key areas of school mathematics, however, pupils make serious mistakes when solving problems involving measurement and hold misconceptions. This article focuses on the possible links between lower secondary pupils' (n = 870) success in solving non-measurement tasks and calculations tasks on area and volume and…

There is no doubt that teachers' knowledge and beliefs play a significant role in shaping how students learn mathematics. Nevertheless, research regarding the knowledge and beliefs of preservice teachers, including the cultural dimension, is very limited (Xenofontos & Andrews, 2012). The purpose of this study is to investigate the similarities…

In this paper, I explore data collected from more than 300 Year 5 and 6 students in four government primary schools in urban Darwin. Students were asked to respond to real-world problem contexts involving fundraising as an example of an enterprise activity. The findings reveal that familiarity with the problem context, personal values, and…

These proceedings contain the papers of the 18th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2021), held virtually, due to an exceptional situation caused by the COVID-19 pandemic, from October 13-15, 2021, and organized by the International Association for Development of the Information Society…

In this paper, we explore the development of two grounded theories. One theory is mathematical and grounded in the work of university calculus students' collaborative development of mathematical methods for finding the volume of a solid of revolution, in response to mathematical necessity in problem solving, without prior instruction on solution…

Making problem solving a central part of teaching may be challenging to teachers who have limited experiences in learning and teaching mathematics in this way. Math Teachers' Circles were developed with the aim of establishing a "culture of problem solving" among middle school mathematics teachers. This culture could then be carried back into…

Pearson sought to explore whether the use of MyLab Statistics, a teaching, learning and assessment system used to teach statistics at the higher education level, is related to higher exam scores. This Research Report presents findings from one research study: a correlational study conducted at Maastricht University School of Business and Economics…

Drawing on sociocultural theories, this study considers the multiple resources multilingual children use to communicate mathematically. We engaged with three children and a parent, in order to understand how multilingual children express their mathematical reasoning. The family was given a mathematical problem solving activity designed to…

It has been argued that developing interactive learning environments that involve learners in integrating contextualized literacy experiences leads to more successful concept formation in young children. This study attempts to revisit Vygotsky's view of the dialectical relations between culture and individual psychological functioning as mutually…

Structured problem-solving lessons are used to explore mathematical concepts such as pattern and relationships in early algebra, and regularly used in Japanese Lesson Study research lessons. However, enactment of structured problem-solving lessons which involves detailed planning, anticipation of student solutions and orchestration of whole-class…

Background/Context: Teachers in urban schools are sometimes seen as a large part of the problem with such schools; they are often spoken of as not knowing the content they need to know to teach, are not seen as committed to excellence or to reform-minded teaching, and therefore are not seen as a resource for school improvement. The case of Madison…

This paper reports on a mixed-methods study of 111 Advanced Placement calculus students' self-reports of their graphing calculator use, comfort, and rationale for trusting a solution produced with or without a graphing calculator when checking written work. It was found that there was no association between gender, teacher-reported mathematical…

Recent intervention studies directed to improve problem solving accuracy in children with math difficulties (MD) have found support for teaching cognitive strategies. This study addresses the question: What role does working memory capacity (WMC) play in strategy outcomes for children with MD? Four prediction models can be applied to strategy…

This intervention study compared the efficacy of small-group tutoring on the mathematics learning of third-grade students at risk for mathematics difficulty using either a school-provided standards-based curriculum (SBC) or a schema-based instruction (SBI) curriculum. The SBI curriculum placed particular emphasis on the underlying mathematical…

The present research assessed the efficacy of two tutoring protocols for improving the mathematics outcomes of at-risk third-grade students. Results indicated that students in the schema-based instruction (SBI) group outperformed students in the control group on word problem solving performance after 30 hours of problem-solving experience, but the…